I think the answer is 4*3^1/2

PranayMittal wrote:

I already knew the solution but thanks anyway

rachitgoel wrote: PranayMittal wrote:

I already knew the solution but thanks anyway Even if you know the answer, you should still post the solution. It's for other people, not just you.

PranayMittal wrote: rachitgoel wrote: PranayMittal wrote:

I already knew the solution but thanks anyway Even if you know the answer, you should still post the solution. It's for other people, not just you. Sorry I am new here .thanks for telling me that

Diagram: [asy][asy] unitsize(16); pair A,B,C,P,Q,R,T; A=(3.4641016151377544, 2); B=(0, 0); C=(6.928203230275509, 0); P=(-1.9999999999999991, 3.464101615137755); Q=(1.4641016151377544, 5.464101615137754); R=(8.928203230275509, 3.4641016151377544); T=(5.464101615137754, 5.464101615137754); dot(A);dot(B);dot(C);dot(P); dot(Q);dot(R);dot(T); label("$A$", (3.4641016151377544, 2),E); label("$B$", (0, 0),S); label("$C$", (6.928203230275509, 0),S); label("$P$", (-1.9999999999999991, 3.464101615137755), W); label("$Q$", (1.4641016151377544, 5.464101615137754),N); label("$R$", (8.928203230275509, 3.4641016151377544),E); label("$S$", (5.464101615137754, 5.464101615137754),N); draw(B--C--A--B); draw(B--P--Q--A--B); draw(A--C--R--T--A); draw(Q--T--A--Q); label("$x$", (3.4641016151377544, 0), S); label("$4$", (Q+T)/2, N);[/asy][/asy] The diagram was not in the op there originally, it was added in later. (I did not just copy it for spamming purposes.)

Why have you posted the diagram?

So it is in the problem thread, and not in a external source.